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121444143100 = 225272179138461
BaseRepresentation
bin111000100011010100…
…0101000111111111100
3102121110122120200101221
41301012220220333330
53442204200034400
6131442441243124
711526333120100
oct1610650507774
9377418520357
10121444143100
1147560064215
121b6534934a4
13b5b5450407
145c41069900
15325bb69c1a
hex1c46a28ffc

121444143100 has 108 divisors (see below), whose sum is σ = 308274566040. Its totient is φ = 41405078400.

The previous prime is 121444143083. The next prime is 121444143109. The reversal of 121444143100 is 1341444121.

It is a super-2 number, since 2×1214441431002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121444143109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 807870 + ... + 946330.

It is an arithmetic number, because the mean of its divisors is an integer number (2854394130).

Almost surely, 2121444143100 is an apocalyptic number.

121444143100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121444143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154137283020).

121444143100 is an abundant number, since it is smaller than the sum of its proper divisors (186830422940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121444143100 is a wasteful number, since it uses less digits than its factorization.

121444143100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138668 (or 138654 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 121444143100 its reverse (1341444121), we get a palindrome (122785587221).

The spelling of 121444143100 in words is "one hundred twenty-one billion, four hundred forty-four million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 179 196 245 350 358 490 700 716 895 980 1225 1253 1790 2450 2506 3580 4475 4900 5012 6265 8771 8950 12530 17542 17900 25060 31325 35084 43855 62650 87710 125300 138461 175420 219275 276922 438550 553844 692305 877100 969227 1384610 1938454 2769220 3461525 3876908 4846135 6784589 6923050 9692270 13569178 13846100 19384540 24230675 24784519 27138356 33922945 48461350 49569038 67845890 96922700 99138076 123922595 135691780 169614725 173491633 247845190 339229450 346983266 495690380 619612975 678458900 693966532 867458165 1214441431 1239225950 1734916330 2428882862 2478451900 3469832660 4337290825 4857765724 6072207155 8674581650 12144414310 17349163300 24288828620 30361035775 60722071550 121444143100